A rope is used to pull a 10-kg block across the floor with an acceleration of 3 m/s2. If the frictional force acting on the block is 50 N, what is the tension in the rope

Answer

If a body travels 30 m in an interval of 2s and 50m in the next interval of 2s, then the acceleration of the body is

✓ Correct option is B) 5 m/s^2

Explanation:

The acceleration of the body that travels 30m in an interval of 2s and 50m in the next interval of 2s is 5m/s²

Let the initial velocity of the body is u and acceleration is a

Given in first 2s,

distance, s = 30m

using s= ut + 1/2at²

⇒ 30= 2u + 1/2(a x 2)²

⇒ u +a =15 ......(1)

In next 2s,

displacement, d = 50m

⇒ t = 4s, s=30+50=80

⇒ 80 = 4u + 1/2(a x 4²)

⇒ u + 2a = 20 ......(2)

subtracting equation (1) from (2)

a = 5m/s²

Therefore, the acceleration of the body is 5m/s²

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Answer:

1525 meters above ground

Explanation:

So to do this you will need to write this in slope intercept form or \(y=mx+b\). So 650 would be the b, 175 would be the m, and the x would be 5 so the equation would be \(y=175(5)+650\) so if you solve or simplify the equation you will get 1525 meters above the ground and that would be our final answer.

The work done by a force equivalent to the weight of 100 kg that moves an object 200 km in 7.0 min would be 196000 kJ.

The total amount of energy transferred when a force is applied to move an object through some distance

The work done is the multiplication of applied force with displacement.

Work Done = Force ×  Displacement

As given in the problem we have to calculate the work done by a force equivalent to the weight of 100 kg that moves an object 200 km in 7.0 min.

The weight of the 100 kg = 100 × 9.8

                                          = 980 N

The work done = 980 × 200 × 1000

                          = 196000000

                          = 196000 kJ

Thus, the work done by a force equivalent to the weight of 100 kg that moves an object 200 km in 7.0 min would be 196000 kJ.

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1.4J of work is done .

What is Work done?

Anytime a force transports something over a distance, work is performed. By multiplying the force by the distance moved in the direction of the force, you may determine the amount of energy transferred or work accomplished.

The relation states that the amount of labor needed to transport a unit charge from one location to another is equal to the potential difference between any two points in an electric circuit.

we can calculate the work done :

W= VQ = 9.0(.15C)=1.4J

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If the board has a non-zero mass of 26 kg, the placement of the pivot for balance would be different than if it had zero mass. To find the new pivot point, we need to take into account the weight of the board. The pivot point should be placed at a distance from the center of mass of the board so that the moments on both sides of the pivot are equal.

To calculate the pivot point, we need to use the equation:

M1 x d1 = M2 x d2

Where M1 and M2 are the masses on either side of the pivot, and d1 and d2 are the distances from the pivot to each mass. In this case, we have one mass (the person) on one side of the pivot, and the board on the other side. We can assume the person has a negligible mass compared to the board.

Let's say the person is standing 1 meter from the pivot. We also need to know the center of mass of the board, which we can assume is at the center of the board. If the board is 2 meters long, the center of mass would be 1 meter from either end.

Using the equation above, we can set up the following equation:

26 kg x (d1) = 60 kg x (2 - d1)

Solving for d1, we get:

d1 = 1.23 meters

So the pivot should be placed 1.23 meters from the end of the board where the person is standing in order to balance the board with a non-zero mass of 26 kg.

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Answer:

The ratio of the width of the slits to the separation between them is 1:5

Explanation:

For this set of question

n = 1, m = 5

As we know for nth minimum

\(D sin\theta =n \lambda\)

For mth Maximum

\(d sin\theta =m \lambda\)

From the above two equations we get

\(Sin\theta = \frac{1*\lambda}{D} \\d * \frac{1*\lambda}{D} = 5 *\lambda\\\frac{D}{d} = \frac{1}{5}\)

The ratio of the width of the slits to the separation between them is 1:5

Answer:

A

Explanation:

Dropping the magnet its weaknging the structure

As you stretch the band a distance x, the force you need to exert has a magnitude of (250 N/m) x.

So if 100 N is required to stretch it to maximum length, then this length is x such that

100 N = (250 N/m) x   ==>   x = (100 N)/(250 N/m) = 0.4 m

Answer:

0.6

Explanation:

I got it right

Answer:

Explanation:

The Law of reflection states that angle of incidence equals angle of reflection.

So Angle of reflection is 14° also.

Explanation:

Answer:

Pneumatics use easily compressible gas like air or pure gas. Meanwhile, hydraulics utilize relatively-incompressible liquid media like mineral oil, ethylene glycol, water, synthetic types, or high-temperature fire-resistant fluids to make power transmission possible.

Explanation:

hope this helps

The car can take this curve without skidding to the outside of the curve with a speed of 23.47 m/s.

Given that,

Radius of the track r = 44 m

Inclination θ = 16°

Mass of car m = 1563 kg

Coefficient of kinetic friction μ = 0.72

By analysing the free body diagram, we get,

N cos θ - fr - m g = 0  ----(1)

where, N is normal reaction

fr is friction

N cos θ + fr cos θ = mv²/r  ----(2)

fr = μ N ----(3)

From (1), (2) and (3) we get maximum velocity without skidding as,

v = √(g r ) × √( tanθ +μ )/(1 - μ tanθ) = √(9.8× 44 ) ×√( tan 16°+ 0.72)/(1 - 0.72 tan 16°) = 20.77 × √1.007/0.79 = 20.77 × 1.13 = 23.47 m/s

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Answer: Smoke is Abiotic because it is not a living thing.

Explanation: Hopefully this helps u.  Have a great rest of your day. I hope this is the right answer

Answer:

I believe that the answer is B) False

In free-fall motion the velocity is given by the following equation of motion:

Where:

Therefore, the velocity increases linearly with time. This happens if the object encounters no air resistance. In the case that there is air resistance the object will reach a terminal velocity.

In the case of distance, this is given by the following equation:

This means that the distance increases with time following a parabolic function.

Answer:

A

Explanation:

This is to do with convection currents :)

Hope this helps!

Answer:

the most elliptical orbit is that of COMETA

Explanation:

The eccentricity of a curve in defined as the ratio between lacia to the focus, called c and the value of the axis greater than

         ε = c / a

if we use Pythagoras' theorem

         c = \(\sqrt{a^2 - b^2}\)

   substituting

           ε = \(\sqrt{1 - (b/a)^2 }\)

if   ε = 0 we have a circumference

In the diagram presented the orbit of the comet is an ellipse a> b

          ε=\(\sqrt{1- x} \\ x = (\frac{b}{a} )^2\)

if we expand in series

             ε = 1 - x/2  

             ε=  \(1 - \frac{1}{2} \ (\frac{ b}{a} )^2\)

if we neglect the non-linear terms

            ε = 1

Earth's orbit is a small ellipse

             b / a = 149 10⁶ / 151 10⁶

             b / a = 0.98675

             ε = \(\sqrt{1- 0.98675^2}\)

               ε = 0.16

a very small ellipse

Planet X, despite not having data, it seems that the sun is in the scepter of the orbit, so b = a

therefore  both the semi-axes of the curve

        e = a / b

Consequently, the most elliptical orbit is that of COMETA.

Planets fall into two major categories (terrestrial and jovian).

a. Planets can be divided into two main groups.

b. The fusing of hydrogen into helium is how the Sun produces energy.

c. Gravity brought about the solar nebula's collapse.

d. There are a tons of comets and asteroids.

The four main characteristics of the solar system are listed above in the order in which they contributed to its origin.

The majority of planets can be divided into two groups: gaseous giants and other terrestrial planets. As a result of the solar chromosphere's solar winds.

This energy powers the fusion of hydrogen and helium in the sun's core, which powers the sun itself. The solar nebula was a cloud of gases and dust that started to spin on its own, drawing the microscopic particles closer due to gravity. In the solar system, there are around 100 billion comets and asteroids.

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During sewer pipe installation using a laser, a laser beam is projected through the pipe until it hits a target beam(c).

The target beam acts as a reference point or marker that helps align the pipe correctly during installation. By hitting the target beam, the laser beam indicates the desired direction and position for the pipe, ensuring accurate installation.

The target beam is often placed at the other end of the pipe or at specific intervals along the pipe's path, allowing the construction crew to adjust the alignment and slope as necessary. This process helps ensure the proper installation of the sewer pipe, minimizing potential issues and ensuring efficient drainage.

So c is correct option.
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Answer:

The acceleration is 0.062 m/s^2.

Explanation:

mass = 12 kg

F = 30 N at 20° right

F' = 45 N at 50° left

Let the acceleration is a.

The net force is

F'' = F' cos 50° - F cos 20°

F'' = 45 x 0.643 - 30 x 0.94 = 28.94 - 28.2 = 0.74 N

According to the Newton's second law

0.74  = 12 x a

a = 0.062 m/s^2

Explanation:

Q7Answer=If light meets a rough surface, each ray obeys the law of reflection. However, the different parts of the rough surface point in different directions, so the light is not all reflected in one direction. Instead, the light is reflected in all directions. This is called diffuse scattering .

In a typical internal combustion engine, such as those found in most automobiles, energy is wasted in a number of ways:

1. Thermal Energy: The majority of the energy from the combustion process is lost as heat through the exhaust. This is because the combustion process is far from perfectly efficient.

2. Mechanical Energy: Some energy is lost through mechanical inefficiencies in the engine itself, such as friction between moving parts.

3. Pumping Losses: Engines lose energy through the work required to pump air and fuel into the cylinders and push out the exhaust gases.

4. Radiated Energy: Some energy is lost through heat radiated from the engine block itself, particularly when the engine is running hot.

5. Idle Losses: When the engine is running but the vehicle is not moving (idling), all of the energy being used by the engine is essentially wasted.

6. Accessory Load: Energy is used to power the various accessories in a vehicle, such as the alternator, power steering pump, air conditioning compressor, etc. While these are necessary for the operation of the vehicle, they do represent a form of energy loss in terms of the overall efficiency of the engine.

7. Incomplete Combustion: Not all of the fuel that enters the engine's combustion chamber is burned. Some is expelled as unburned hydrocarbons, which is not only a waste of energy but also a source of pollution.

8. Transmission Losses: Some energy is lost in the transmission as the power is transferred from the engine to the wheels.

It's important to note that these are inherent to the design of internal combustion engines, and while engineers continually work on improving the efficiency of these engines, these forms of energy loss are difficult to completely eliminate.

Answer:

obviously sasuke

Explanation:

everyone is always over estimating borutos powers like lets be real here sasuke is almost as strong as naruto and when they were younger he had better hand to hand combat and in jutsu's he was a prodigy and he is able to calculate precise movements to try and defeat his oponent lets not forget that he has the sharingon over whatever jutsus boruto has (i dont know because ive never seen the anime and i dont plan on doing so) (i hate boruto its trash) which means he could read borutos chakra and he would be more powerful because his sharingan awoken when he was a mear child he would be much more powerful beause hes mastered his sharingan. oh yeah and his fire ball and chidori (which could k!11 boruto if sasuke inflicts enough chakra into his jutsu) (if u want to say otherwise my pronouns are she/her so use them if u want to say something involving pronouns thanks)

Answer:

a) F = 353.2 N

b) \(F_{f} = 147.2 N \)

   a = 4.21 m/s²

Explanation:

a) The minimum force necessary to start moving the box s given by:       

\(\Sigma F = 0\)

\( F - \mu_{s}N = 0 \)

\( F = \mu_{s}mg \)

Where:

F: is the force applied to move the box

μs: is the static coefficient of friction = 0.6          

m: is the mass = 60 kg

g: is the gravity = 9.81 m/s²

\( F = 0.6*60 kg*9.81 m/s^{2} = 353.2 N \)

b) The acceleration is:

\( F - F_{f} = ma \)

\( F - \mu_{k}mg = ma \)              

\( a = \frac{F - \mu_{k}mg}{m} = \frac{400 N - 0.25*60 kg*9.81 m/s^{2}}{60 kg} = 4.21 m/s^{2} \)

Now, the friction force is:

\( F_{f} = \mu_{k}mg = 0.25*60 kg*9.81 m/s^{2} = 147.2 N \)

I hope it helps you!    

Answer:

Explanation:

Mass of sofa(m) = 105 kg

Force= 403 N

F = μ*N

Where:

F = friction force = 403 [N]

μ = static coefficient

N = Normal force [N]

The normal force of a body lying on a horizontal surface can be calculated by means of the product of mass by gravitational acceleration.

mass × acceleration due to gravity = 105 × 9.8  =  1029

403= μ *1029

substitute force with 403 N and resistance with 1029 × μ

                                    403 = 1029 × μ

                                         μ = 403/1029

                                            = 0.391

Answer = 0.391

Explanation:

1. swimmer is having kinetic energy as it is moving with velocity of 6 meter per second..

2. Intial velocity = 6 , Final velocity = 0

Average velocity = u +v /2

6+0/2 = 6/2 = 3

So, 3 is velocity

Kinetic energy = ½ mv²

= ½× 80 × (3)²

= 40×9

= 360 Joule Answer

The spring constants of the string and nylon thread are: higher compared to the spring, as they demonstrate greater resistance to stretching under the same applied force.

When a moderate force is applied, both string and nylon thread stretch but only a small amount, whereas a spring stretches much further. To compare their spring constants, we need to understand Hooke's Law, which states that the force applied is proportional to the displacement of the object (F = kx). Here, k is the spring constant and x is the displacement.

A higher spring constant (k) means that the object is more resistant to stretching, while a lower spring constant indicates that the object is more easily stretched. In this case, the string and nylon thread have higher spring constants compared to the spring since they stretch less under the same force. The spring, which stretches much further, has a lower spring constant.

In conclusion, the spring constants of the string and nylon thread are higher compared to the spring, as they demonstrate greater resistance to stretching under the same applied force. This is evident in the smaller displacements observed when pulling the string and thread compared to the more significant stretching of the spring.

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